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A Priori Estimates for Prescribing Scalar Curvature Equations
The Annals of Mathematics, 1997This is a remarkable paper in the study of scalar curvature equations. There are two important contributions in this paper. One is that they use the Kelvin transform and the maximum principle to derive estimates on solutions in the region where the prescribed scalar curvature is negative.
Chen, Wenxiong, Li, Congming
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A priori weighting for parameter estimation
Journal of Inverse and Ill-posed Problems, 2008The author considers parameter estimation as an element of inverse modelling in which measurements (data) are used to infer the parameters in a mathematical model. He assumes that parameter estimation can be viewed as an optimization problem in which the objective function representing the data misfit is minimized in a given norm.
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Existence of EMS Solutions and a Priori Estimates
SIAM Journal on Matrix Analysis and Applications, 1995The author establishes the solvability of the nonlinear EMS (estimate, maximize, smooth) equations in the nonnegative quadrant by use of the Brouwer fixed point theorem and a priori estimates from the Perron- Frobenius theory. Existence of solutions and an a priori estimate are also proven for a generalization of the EMS equations.
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Estimation of functionals in an a priori density
Journal of Soviet Mathematics, 1988We are concerned with the estimation of linear and quadratic functionals of the form \[ (1)\quad \Phi (g)=\int_{\Theta}\phi (\theta)g(\theta)\mu (d\theta),\quad and\quad (2)\quad \Omega (g)=\int_{\Theta}\omega (\theta)g^ 2(\theta)\mu (d\theta) \] in an unknown a priori density. One of the methods for obtaining the desired estimates is to estimate first
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A priori sharp estimates for minimizers
1993The problem discussed is a classical problem of calculus of variations: \[ \begin{cases} J(w)= \int_G \{a(x, Dw)+ b(x, w)\}dx\to \min\\ \text{with } w(x)= g(x)\text{ on }\partial G,\end{cases}\tag{1.1} \] (\(Dw\) is the gradient). The authors consider the class of such problems where rates of growth of the functions \(a\) and \(b\) are given and the ...
CIANCHI, ANDREA, R. SCHIANCHI
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Multilateration Using A Priori Position Estimates
IEEE Transactions on Radar Systems, 2023Eric Widdison, David G. Long
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A Priori estimates for difference equations
USSR Computational Mathematics and Mathematical Physics, 1962openaire +1 more source
How to capitalize on a priori contrasts in linear (mixed) models: A tutorial
Journal of Memory and Language, 2020Daniel J Schad, , Sven Hohenstein
exaly